136_tt1_f10_info - The circumstances under which a matrix...

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Math 136 Term Test 1 Information Monday, Oct 18th , 7:00 - 8:50 p.m. Room assignments will be posted on UWACE. Material Covered: Sections 1-1 - 1-4, 2-1, 2-2, 3-1. You need to know: - All definitions and statements of theorems. - How to perform operations on vectors (addition, scalar multiplication, dot product, and cross product). - How to find the normal vector and scalar equation of a plane. - How to determine if a vector is in a spanning set, or if a set of vectors is linearly independent. - How to find the projection and perpendicular of a vector onto a vector or plane and to use this to find the distance from a point to a plane. - How to determine if a set is a subspace of R n . - How to write the coefficient and augmented matrix of a system of linear equations. - How to row-reduce a matrix to REF or RREF using elementary row operations and how to use this to find the general solution of a system of linear equations.
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Unformatted text preview: - The circumstances under which a matrix has none, one, or infinitely many solutions.- How to perform operations of addition, scalar multiplication, matrix multiplication and transpose on matrices.- There will be a few proofs which test your knowledge and understanding of the defi-nitions, theorems and concepts. The questions on the term test are largely based on those from assignments 1 - 4 and tutorials. In addition to reviewing those problems, it is recommended that you do additional A and D problems from the relevant sections of the text. Two previous term test 1s are posted on UWACE. Solutions to these will be posted on Friday. It is highly recommended that you make a serious attempt at all the problems before looking at the solutions. NO CALCULATORS allowed on any test!...
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